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Worst-case analysis is used among financial regulators in the wake of the recent financial crisis to gauge the tail risk. We provide insight into worst-case analysis and provide guidance on how to estimate it. We derive the bias for the non-parametric heavy-tailed order statistics and contrast it with the semi-parametric extreme value theory (EVT) approach.

We explore properties of asymmetric generalized autoregressive conditional heteroscedasticity (GARCH) models in the threshold GARCH (GTARCH) family and propose a more general Spline-GTARCH model, which captures high-frequency return volatility, low-frequency macroeconomic volatility as well as an asymmetric response to past negative news in both autoregressive conditional heteroscedasticity (ARCH) and GARCH terms.

This article provides an overview of the growth of Canadian-dollar-denominated assets in official foreign reserves. Based on International Monetary Fund data and on internal Bank of Canada analysis, we estimate that the total reserve holdings of Canadian-dollar assets increased from negligible levels before 2008 to around US$200 billion in the third quarter of 2013. We discuss the determinants of this increase, as well as its potential impact on Canadian debt markets, for example, lower yields and therefore reduced financing costs for the Government of Canada, and the possible negative impact on market liquidity.

We propose a macroeconomic model with a nonlinear Phillips curve that has a flat slope when inflationary pressures are subdued and steepens when inflationary pressures are elevated. Our model can generate more sizable inflation surges due to cost-push and demand shocks than a standard linearized model when inflation is high.

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Canada's First Coinage

Photography by Gord Carter, Ottawa.

Commodity prices are once again making headlines. Some commodity prices, such as those for copper and cattle, have reached record highs; others are rising quickly and approaching previous peaks.

In recent years, the Bank has put renewed emphasis on analyzing monetary variables and on developing models that incorporate money as an active part of the transmission mechanism. In this article, Dinah Maclean describes how the monetary aggregates are used in the formulation of monetary policy analysis at the Bank, outlining the key tools and models used. The most important money-based model currently in use is the M1-VECM. In this model, deviations in the money supply from the long-term demand for money cause changes in inflation. The author briefly describes the "active-money" paradigm underlying this model and explains the key equations within it. Other simpler empirical models are also outlined, including single-equation indicator models for output based on the narrow aggregates, a neural network, and a model based on the broader aggregate M2++. A detailed technical annex provides details on model equations and coefficient values.

This article summarizes the proceedings of an international research conference hosted by the Bank of Canada in November 2000. The conference marked the fiftieth anniversary of Canada's adoption of a flexible exchange rate, and its title recognizes the seminal contribution of Professor Milton Friedman's article "The Case for Flexible Exchange Rates." His keynote address to the conference is also summarized in the article. The conference papers re-examine many of the arguments raised by Friedman using recent developments in economic theory and econometric techniques. They investigate the experience of a wide range of industrialized and emerging-market economies. The main findings are that a strong case can be made for flexible exchange rates in economies that are large commodity exporters and that have credible low-inflation monetary policies and relatively well-developed financial systems.

Central banks must cope with considerable uncertainty about what will happen in the economy when formulating monetary policy. This article describes the different types of uncertainty that arise and looks at examples of uncertainty that the Bank has recently encountered. It then reviews the strategies employed by the Bank to deal with this problem. The other articles in this special issue focus on three of these major strategies.

We propose an open-economy New Keynesian model with financial integration that allows financial intermediaries to hold foreign long-term bonds. We study the implications of financial integration on monetary policy transmission. Among various aspects of financial integration, the bond duration plays a major role. These results hold for conventional and unconventional monetary policies.